Evaluate ${ } _ { n } P _ { r }$ . $100 P _ { 3 }$
A)94,109,400
B)161,700
C)970,200
D)858,277,728,000
E)9,034,502,400

Name: Evaluate ${ } _ { n } P _ { r }$ . $100 P _ { 3 }$ A)94,109,400 B)161,700 C)970,200 D)858,277,728,000 E)9,034,502,400
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Question

Evaluate ${ } _ { n } P _ { r }$ .   $100 P _ { 3 }$  
A)94,109,400
B)161,700
C)970,200
D)858,277,728,000
E)9,034,502,400

Quizplus · Accepted Answer

The formula for permutations is ${ } _ { n } P _ { r } = \frac{n!}{(n-r)!}$. For $100 P _ { 3 }$, it is $\frac{100!}{(100-3)!} = \frac{100!}{97!} = 100 \times 99 \times 98 = 970,200$.

Evaluate nPr{ } _ { n } P _ { r }n​Pr​

Evaluate ${ } _ { n } P _ { r }$